How can we talk about "the" Euclidean norm? The norm given by doubling the usual notion of length in R^n should also be preserved by rotations/translations/reflections. Or is it the case that if we additionally require the norm of all standard basis vectors to be 1, then we obtain a unique Euclidean norm?
How can we talk about "the" Euclidean norm? The norm given by doubling the usual notion of length in R^n should also be preserved by rotations/translations/reflections. Or is it the case that if we additionally require the norm of all standard basis vectors to be 1, then we obtain a unique Euclidean norm?